Theorems · Theorem · general topology
ENNReal.limsup_add_of_right_tendsto_zero
∀ {ι : Type u_4} {u : Filter ι} {g : ι → ENNReal},
Filter.Tendsto g u (nhds 0) → ∀ (f : ι → ENNReal), Filter.limsup (f + g) u = Filter.limsup f u- Cited by
- 1 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Filterstatement and proof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- LT.lt.leproof · cited by 2,189
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- add_le_addproof · cited by 666
- Filter.Eventually.of_forallproof · cited by 526
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.limsup_add_of_left_tendsto_zeroproof · cited by 0